四值忆阻神经网络的时滞固定时间同步。
Fixed-time synchronization of quaternion-valued memristive neural networks with time delays.
机构信息
School of Mathematics, and Research Center for Complex Systems and Network Sciences, Southeast University, Nanjing 210996, Jiangsu, China.
School of Mathematics, and Research Center for Complex Systems and Network Sciences, Southeast University, Nanjing 210996, Jiangsu, China.
出版信息
Neural Netw. 2019 May;113:1-10. doi: 10.1016/j.neunet.2019.01.014. Epub 2019 Feb 1.
In this paper, a new type of neural networks, quaternion-valued memristive neural networks (QVMNNs) is formulated. On the basis of the differential inclusion principle and the Lyapunov functional method, fixed-time synchronization problem is considered in the form of drive-response system for this type of neural networks. A novel fixed-time controller is designed to achieve the control goal. With the fixed-time stability theory and some inequality techniques, criterion of fixed-time synchronization for QVMNNs is given. Finally, corresponding simulation results are presented to show the effectiveness of the method derived in this paper.
本文提出了一种新型的神经网络，四元数值忆阻神经网络（QVMNNs）。基于微分包含原理和李雅普诺夫函数方法，针对这种神经网络的驱动-响应系统形式，考虑了固定时间同步问题。设计了一种新的固定时间控制器来实现控制目标。利用固定时间稳定性理论和一些不等式技术，给出了 QVMNNs 固定时间同步的判据。最后，给出了相应的仿真结果，验证了本文方法的有效性。
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